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Finding the Third Proportional to 433.94 and 651.47

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Solution

The third proportional to 433.94 and 651.47 is: 978.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.94 : 651.47 = 651.47 : x
  2. Step 2: Convert to fraction form
    433.94/651.47 = 651.47/x
  3. Step 3: Cross multiply
    433.94x = 651.47 × 651.47
  4. Step 4: Simplify right side
    433.94x = 424,411.53
  5. Step 5: Solve for x
    x = 424,411.53/433.94
  6. Step 6: Final answer
    x = 978.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.